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Finding the Third Proportional to 241,081,566 and 523,261,290

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Solution

The third proportional to 241,081,566 and 523,261,290 is: 1,135,725,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,081,566 : 523,261,290 = 523,261,290 : x
  2. Step 2: Convert to fraction form
    241,081,566/523,261,290 = 523,261,290/x
  3. Step 3: Cross multiply
    241,081,566x = 523,261,290 × 523,261,290
  4. Step 4: Simplify right side
    241,081,566x = 273,802,377,612,464,096
  5. Step 5: Solve for x
    x = 273,802,377,612,464,096/241,081,566
  6. Step 6: Final answer
    x = 1,135,725,066.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.